Question

Using Identities, Evaluate the following: 1.
${51}^{2} - {49}^{2}$








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Answer 1

Answer :-

200

Step-by-step-Explaination :-

$\rm{51}^{2} - {49}^{2}$

$\tt Here \: we \: have \: to \: use \: the \: formula \: of \: ({a}^{2} - {b}^{2} )$

$\tt{a}^{2} - {b}^{2} = (a + b) \: (a - b)$

$\rm{51}^{2} - {49}^{2} = (51 + 49) \: (51 - 49)$

$\rm{51}^{2} - {49}^{2} = (100) \times (2)$

$\rm{51}^{2} - {49}^{2} = \bf \: 200$

$\tt {\huge \therefore} \: { \bf200} \: is \: the \: answer$